7998976184320 has 416 divisors, whose sum is σ = 21542998909824. Its totient is φ = 2826161356800.

The previous prime is 7998976184273. The next prime is 7998976184341. The reversal of 7998976184320 is 234816798997.

It is a super-2 number, since 2×7998976184320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140589134 + ... + 1140596146.

Almost surely, 2^{7998976184320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7998976184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771499454912).

7998976184320 is an abundant number, since it is smaller than the sum of its proper divisors (13544022725504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7998976184320 is a wasteful number, since it uses less digits than its factorization.

7998976184320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 73.

The spelling of 7998976184320 in words is "seven trillion, nine hundred ninety-eight billion, nine hundred seventy-six million, one hundred eighty-four thousand, three hundred twenty".